Q: What is the total or count of factors of the number 47,458,509?

 A: 32

How do I find the total factors of the number 47,458,509?

Step 1

Find the prime factorization of the number 47,458,509.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
47,458,509
Factor Arrows
315,819,503
Factor Arrows
72,259,929
Factor Arrows
7322,847
Factor Arrows
746,121
Factor Arrows
172,713

The prime factorization in exponential form is: 31 x 73 x 171 x 2,7131

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

47,458,509 = 31 x 73 x 171 x 2,7131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(47458509) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(47458509) = (2)(4)(2)(2)
Down Arrow
d(47458509) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 47,458,509 and how to find them.

Try the factor calculator.

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